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Finding the Fourth Proportional to 2,044.27, 3,066.92 and 583.42

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Solution

The fourth proportional to 2,044.27, 3,066.92 and 583.42 is: 875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.27 : 3,066.92 = 583.42 : x
  2. Step 2: Convert to fraction form
    2,044.27/3,066.92 = 583.42/x
  3. Step 3: Cross multiply
    2,044.27x = 3,066.92 × 583.42
  4. Step 4: Simplify right side
    2,044.27x = 1,789,302.47
  5. Step 5: Solve for x
    x = 1,789,302.47/2,044.27
  6. Step 6: Final answer
    x = 875.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.